A) 10.0
B) 20.0
C) 10.1
D) 20.2
Correct Answer: C
Solution :
\[\frac{|x-\overline{x}|}{n}=255\] \[\overline{x}=\frac{1+1+d+1+2d.....+1+100d}{101}\] \[=\frac{101+d\left( \frac{100\times 101}{2} \right)}{101}\] \[=1+\frac{50\times 101d}{101}=1+50\,d\] \[|x-\overline{x}|=225\times 101\] \[2d\left( \frac{50\times 51}{2} \right)=255\times 101\] \[d=\frac{225\times 101}{50\times 51}=10.1\]
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